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Finding the Fourth Proportional to 3,099.87, 4,650.62 and 1,151.01

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Solution

The fourth proportional to 3,099.87, 4,650.62 and 1,151.01 is: 1,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.87 : 4,650.62 = 1,151.01 : x
  2. Step 2: Convert to fraction form
    3,099.87/4,650.62 = 1,151.01/x
  3. Step 3: Cross multiply
    3,099.87x = 4,650.62 × 1,151.01
  4. Step 4: Simplify right side
    3,099.87x = 5,352,904.37
  5. Step 5: Solve for x
    x = 5,352,904.37/3,099.87
  6. Step 6: Final answer
    x = 1,726.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.